Stable polynomials and sums of dependent Bernoulli random variables: application to Hoeffding inequalities

DOI10.1007/s41980-020-00419-0zbMath1475.60040OpenAlexW3039220679MaRDI QIDQ2043556

Hazar Ennafti, Sana Louhichi

Publication date: 2 August 2021

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-020-00419-0

zbMATH Keywords

inequalitiesBernoulli random variablesHurwitz polynomialstable polynomial

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Sums of independent random variables; random walks (60G50) Inequalities for sums, series and integrals (26D15)

Cites Work

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• A sufficient condition for a polynomial to be stable
• Distributional limits for the symmetric exclusion process
• Polynomials with the half-plane property and matroid theory
• Negative dependence and the geometry of polynomials
• Two Generalizations of the Binomial Distribution
• Probability Inequalities for Sums of Bounded Random Variables
• Advanced Lectures on Machine Learning

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